Nonlinear impact of negative stiffness dampers on stay cables

Xiang Shi, Songye Zhu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


Negative stiffness dampers (NSDs) have been proven an efficient solution to vibration control of stay cables. Although previous studies usually assumed a linear negative stiffness behavior of NSDs, many negative stiffness devices produce negative stiffness with nonlinear behavior. This paper systematically evaluates the impact of nonlinearity in negative stiffness on vibration control performance for stay cables. A linearization method based on energy equivalent principle is proposed, and subsequently, the impact of two types of nonlinear stiffness, namely, displacement hardening and softening stiffness, is evaluated. Through the Hilbert transform (HT) of free vibration responses, the effects of nonlinear stiffness of an NSD on the modal frequencies, damping ratios and frequency response functions of a stay cable is also investigated. The HT analysis results validate the accuracy of the linearization method.
Original languageEnglish
Pages (from-to)15-38
Number of pages24
JournalStructural Monitoring and Maintenance
Issue number1
Publication statusPublished - 1 Mar 2018


  • Linearization
  • Nonlinear negative stiffness
  • Stay cable
  • Vibration control

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Safety, Risk, Reliability and Quality


Dive into the research topics of 'Nonlinear impact of negative stiffness dampers on stay cables'. Together they form a unique fingerprint.

Cite this